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Finding the Fourth Proportional to 1,416.48, 2,122.44 and 929.16

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Solution

The fourth proportional to 1,416.48, 2,122.44 and 929.16 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.48 : 2,122.44 = 929.16 : x
  2. Step 2: Convert to fraction form
    1,416.48/2,122.44 = 929.16/x
  3. Step 3: Cross multiply
    1,416.48x = 2,122.44 × 929.16
  4. Step 4: Simplify right side
    1,416.48x = 1,972,086.35
  5. Step 5: Solve for x
    x = 1,972,086.35/1,416.48
  6. Step 6: Final answer
    x = 1,392.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.